(a) Write the following expression in terms of i, perform multiplication, and simplify V-25 · V-125. Student solution. The first square root can be written in terms of i as: V-25 = The second square root can be written in terms of i as: V-125 = Lastly we obtain: |– 25 · V-125 = (b) Compute the sum of the various powers of i: 48 + 49 +i30 Student solution. The first power of i equals: 48 The second power of i equals: The third power of i equals: The sum of these powers of i equals:

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(a) Write the following expression in terms of i, perform multiplication, and simplify
V=25 · V-125.
Student solution.
The first square root can be written in terms of i as:
V-25 =
The second square root can be written in terms of i as:
V-125 =0
Lastly we obtain:
V-25 · V-125 =
(b) Compute the sum of the various powers of i:
i48.
18 + i
49 +¿50
Student solution.
The first power of i equals:
18
The second power of i equals:
49 -
The third power of i equals:
50
The sum of these powers of i equals:
48 +
Transcribed Image Text:(a) Write the following expression in terms of i, perform multiplication, and simplify V=25 · V-125. Student solution. The first square root can be written in terms of i as: V-25 = The second square root can be written in terms of i as: V-125 =0 Lastly we obtain: V-25 · V-125 = (b) Compute the sum of the various powers of i: i48. 18 + i 49 +¿50 Student solution. The first power of i equals: 18 The second power of i equals: 49 - The third power of i equals: 50 The sum of these powers of i equals: 48 +
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